Abstract
In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.
Original language | English |
---|---|
Pages (from-to) | 346-368 |
Number of pages | 23 |
Journal | Complex Variables and Elliptic Equations |
Volume | 67 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- 46F15
- 46F20
- Hermite heat equation
- Hyperfunctions
- Mehler kernel
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics